List questions from complex-integration

Published on 17 Aug 2017 - 15:53

222

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Solving integral involving absolute value by residue theorem

Published on 06 Apr 2026 - 8:02

55

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Let $C$ be the contour consisting of the lines $x=\pm2$ and $y=\pm2$, oriented counterclockwise. Compute the given contour integral.

Published on 18 Aug 2017 - 13:35

1.6k

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Choosing branch cuts for complex integration

Published on 18 Aug 2017 - 14:32

229

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Complex Integration Solution

Published on 20 Aug 2017 - 5:50

169

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Steepest descent method - Trying to find a saddle for the integrand.

Published on 20 Aug 2017 - 15:29

87

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$\int\frac{1}{x^3-1}dx$. Approach using complex numbers?

Published on 21 Aug 2017 - 13:13

180

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Why complex integral along unit circle centered at origin of $\frac{1}{z}$ is different compared to $\frac{1}{z^2}$?

Published on 22 Aug 2017 - 7:32

108

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Branch cut in complex integration

Published on 22 Aug 2017 - 16:25

537

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Mellin integral representation of Dirichlet series

Published on 26 Mar 2026 - 22:14

539

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Show that $\int_\Gamma \frac{f'(z)}{z-z_0}dz=\int_\Gamma\frac{f(z)}{(z-z_0)^2}dz$

Published on 24 Aug 2017 - 5:45

37

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How to calculate the complex integral $ \int_{-1}^{1} \frac{(1-s^2)^4 e^{isc}}{(w-s)^{k}} ds $?

Published on 28 Aug 2017 - 22:37

4.3k

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Characteristic function of gamma distribution

Published on 31 Mar 2026 - 10:33

168

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Contour Integral involving Dilogarithmic functions

Published on 28 Mar 2026 - 3:25

95

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Difficulty in proving Estimation lemma for a contour.

Published on 30 Aug 2017 - 3:40

List Question

The Residue Of $\int_{\gamma}\frac{cosz}{z^5}dz$

Solving integral involving absolute value by residue theorem

Let $C$ be the contour consisting of the lines $x=\pm2$ and $y=\pm2$, oriented counterclockwise. Compute the given contour integral.

Choosing branch cuts for complex integration

Complex Integration Solution

Steepest descent method - Trying to find a saddle for the integrand.

$\int\frac{1}{x^3-1}dx$. Approach using complex numbers?

Why complex integral along unit circle centered at origin of $\frac{1}{z}$ is different compared to $\frac{1}{z^2}$?

Branch cut in complex integration

Mellin integral representation of Dirichlet series

Show that $\int_\Gamma \frac{f'(z)}{z-z_0}dz=\int_\Gamma\frac{f(z)}{(z-z_0)^2}dz$

How to calculate the complex integral $ \int_{-1}^{1} \frac{(1-s^2)^4 e^{isc}}{(w-s)^{k}} ds $?

Characteristic function of gamma distribution

Contour Integral involving Dilogarithmic functions

Difficulty in proving Estimation lemma for a contour.

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